[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]
The value of x from the given equation is [tex]19\frac{2}{3}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 213-12x=-23.
Now, 213+23=12x
⇒ 12x=236
⇒ x=236/12
⇒ x=59/3
⇒ x=[tex]19\frac{2}{3}[/tex]
Therefore, the value of x is [tex]19\frac{2}{3}[/tex].
To learn more about the solution of an equation visit:
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#SPJ2
The volume of a cylinder is 5401 cubic meters and the height is 15 meters. Find the length of the diameter of the cylinder.
Answer:
12
Step-by-step explanation:
Volume= pi x radius squared x height
substitiute values
540π= π x r^2 x 15
divide 540π by π and 15
so thats 36= radius squared
so the radius is 6 as 6 squared is 36
so the diameter is radius x2
so the answer is 12
Use a model to solve seven multiplied by three fifths. Leave your answer as an improper fraction.
Question 2 options:
twenty one thirty fifths
twenty one fifths
four fifths
ten fifths
Answer:
1 a is your answer
Step-by-step explanation:
mark brainlest pls and i hope this helps
Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?
32 / 4 = 8
When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.
32 / 4 = 8
So, Kelly has visited 8 states.
for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
HELP ME PLEASE GUYS! :)
Answer:
Step-by-step explanation:
New equation equals - 5y = - 35
Step 2. y = 7
Step 3. 5x - 4( 7 ) = - 23
Step 4. ( 1 , 7 )
55.7 degrees is the same as 55 degrees _____' 12"
Answer:
16
Step-by-step explanation:
Given is a degree in decimals as 55.27 degrees
But normally in degrees, we use for part of degrees minutes and seconds
60 seconds make one minute and 60 minutes make one degree.
Here 55 degrees would be the same
But part degree 0.27 = 27/100
If we want to convert this into minutes multiply by 60
No of minutes =
1/5 minutes = 12 seconds
Hence 55.27 = 55 deg 16 min and 12 seconds
The Missing number in the middle is 16
Best answer gets brainiest! (plz help me!)
what is the circumference and the mass of Jupiter and Saturn combined? (both the circumference and mass)
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps
Answer:
378,675 km (Saturn) + 449,197 km (Jupiter) = 827, 872 km (514,416 mi)
5.683 × 10^26 kg (Saturn) + 1.898 × 10^ kg (Jupiter) =568300000000000000000000018.98 kg (5.683 × 10^26)
PLEASE HELP!!! this is actually english but---
what is a counterargument and rebuttal in a persuasive speech?
A counterargument simply means the acknowledgement of the standpoints that go against one's argument and then re-affirming the argument.
A persuasive speech means a form if speech where the goal of the speaker is to convince the audience to accept hai or her point of view.
A counterargument shows that a individual is capable of understanding the multiple sides that are in an argument. A rebuttal simply means a form of evidence that's presented in order to nullify the other evidences that are provided by another party.
Learn more about counterargument on:
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Brad needs to rent scaffolding to paint a 2-story room. Handy Rentals charges $15 plus $12.50 per hour. The EZ Rental Company charges $7.50 plus $13.75 per hour. For how many hours would Brad need to rent the scaffolding for the cost to be the same from each rental company?
Answer:
6 hours
Step-by-step explanation:
lmk if you want an explanation
Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
Answer:
20 sides ( Icosagon )
3240 is the interior angles sum
Step-by-step explanation:
360 ÷ 18 = 20
180 - 18 = 162
162*20 = 3240 is the interior angles sum
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6
Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3
Answer:
3. 314 student and 226 adult
4. x = 6.5, y = -0.5
Step-by-step explanation:
3. First we will take our information and make a system of equations:
[tex]2.4a+1.25s=934.9[/tex]
[tex]a+s=540[/tex]
[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.
From the second equation we can rearange it to be:
[tex]a=540-s[/tex]
Then we can plug in our new value of [tex]a[/tex] to our first equation
[tex]2.4(540-s)+1.25s=934.9[/tex]
[tex]1296-2.4s+1.25s=934.9[/tex]
[tex]1.15s=361.1[/tex]
[tex]s=314[/tex]
We can then find [tex]a[/tex] by plugging in s to our second equation
[tex]a+314=540[/tex]
[tex]a=226[/tex]
4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:
[tex]3x -5(-5x+32)=22[/tex]
[tex]3x+25x-160=22[/tex]
[tex]28x=182[/tex]
[tex]x=6.5[/tex]
Then plug our value of x into the first equation to get:
[tex]3(6.5)-5y=22[/tex]
[tex]19.5-5y=22[/tex]
[tex]5y=-2.5[/tex]
[tex]y=-0.5[/tex]
no one helped so im asking for these 2 again
Answer:
3. Option No. 2:
6x + 2y = 22
3x + 3y = 18
4. Option No. 2:
$2.50
Step by step explanation:
4. 6x + 2y = 22
(3x + 3y = 18) * 2
- Negate
6x + 2y = 22
6x + 6y = 36
2y - 6y = 22 - 36
-4y = -14
y = -14/-4
y = 3.5
An order of onion rings = $3.50
- Substitute to find for x
6x + 2(3.5) = 22
6x + 7 = 22
6x = 22 - 7
6x = 15
x = 15/6
x = 2.5
An order of French fries = $2.50
The area of the shaded region is 20 cm. Find the value of x
Which of these following numbers remain the same when rounded to the nearest Hundred??
A. 101
B. 990
C. 1150
D. 2900
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST♡♡♡♡
Answer:
D. 2900.
Step-by-step explanation:
Because it ends in 00.
Answer:
D. 2900
Step-by-step explanation:
It ends in 900, which is already at the nearest 100.
101 would change to 100
990 would change to 1000
1150 would change to 1200
Algebra 2 | Drag the tiles to the correct boxes to complete the pair match each solution with its solution set
Answer:
256= 4 power 4 and 125 = 5 power 3
The list below shows the temperature Elizabeth recorded at 11:00 p.m. for
four days last January.
Monday: 15°F
Tuesday: 20°F
Wednesday: -20°F
Thursday: -5°F
On which of the days did Elizabeth record the lowest (coldest) temperature?
O Monday
O Tuesday
Submit Answer
O Wednesday
O Thursday
Wednesday reported -20 compared to the other days recording -5, 15, and 20 degrees. In this case, Wednesday had the coldest temperature.
Answer: Wednesday
Step-by-step explanation: Think of it like this; all temperatures are cold for us human beings. The question is being asked which days did Elizabeth record the lowest (coldest) temperature.
You can put this figures into a number line. Any number going to the right of a number line is an increase. So Monday and Tuesday can be eliminated. Any number going the left of a number line is decreasing. - 5 is very cold but -20 is colder than -5. Therefore, the lowest (coldest) temperature is -20 which was Wednesday,
Hope this explanation helps.
3⎜x + 4⎟ + 2 ≥ 5
plS
Step-by-step explanation:
3×|x + 4| + 2 >= 5
you handle this basically like an equation :
3×|x + 4| >= 3
|x + 4| >= 1
because of the absolute value we have 2 solutions for that :
x + 4 = 1
and
x + 4 = -1
as in both cases the absolute value turns the result into 1.
so,
x + 4 = 1
x = -3
x + 4 = -1
x = -5
so, to satisfy the inequality
x >= -3 or x <= -5
please consider : if the inequality would have been > instead of >=, we would have had to use > and < for the solution.
Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. Henry and Jacob work together. How long will it take to fill the shelves? Justify your answer.
Answer:
3 3/4 hours
Step-by-step explanation:
If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.
Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.
Classify each of the following expressions by selecting the polynomial type.
9xy5
A)monomial
B)binomial
C)trinomial
D)polynomial
Answer:
i dont know just need points
Step-by-step explanation:
Convert 53 grams to kilograms. 53,000 kg 0.053 kg 5.3 kg 530 kg
Answer:
0.053 kg
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Convert 30,000 ML into L
Answer:
30 liters
Step-by-step explanation:
To me it's kind of like multiplying and dividing.
So, what I did was 30,000 divided by 30 and got 1,000.
1,000 x 30 = 30,000.
That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)
Given the curve [tex]\displaystyle \large{y=e^{-x}\sin x \ \ (x\geq 0)[/tex] let the area enclosed by the curve and the x-axis (above the x-axis) be S0, S1, S2, ... , Sn, ... in order from y-axis. Find [tex]\displaystyle \large{ \lim_{n \to \infty} \sum_{k=0}^{n} S_k}[/tex]
The given curve crosses the x-axis whenever x is a multiple of π, and it lies above the x-axis between consecutive even and odd multiples of π. So the regions with area S₀, S₁, S₂, ... are the sets
[tex]R_0 = \left\{(x, y) : 0 \le x \le \pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_1 = \left\{(x, y) : 2\pi \le x \le 3\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
[tex]R_2 = \left\{(x, y) : 4\pi \le x \le 5\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
and so on, with
[tex]R_k = \left\{(x, y) : 2k\pi \le x \le (2k+1)\pi \text{ and } 0 \le y \le e^{-x}\sin(x)\right\}[/tex]
for natural number k.
The areas themselves are then given by the integral
[tex]S_k = \displaystyle \int_{2k\pi}^{(2k+1)\pi} \int_0^{e^{-x}\sin(x)} dy \, dx = \int_{2k\pi}^{(2k+1)\pi} e^{-x}\sin(x) \, dx[/tex]
Integrate by parts twice. Take
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \sin(x) \, dx \implies v = -\cos(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - \int e^{-x}\cos(x) \, dx[/tex]
then
[tex]u = e^{-x} \implies du = -e^{-x} \, dx[/tex]
[tex]dv = \cos(x) \, dx \implies v = \sin(x)[/tex]
so that
[tex]\displaystyle \int e^{-x}\cos(x) \, dx = e^{-x}\sin(x) + \int e^{-x}\sin(x) \, dx[/tex]
Overall, we find
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -e^{-x}\cos(x) - e^{-x}\sin(x) - \int e^{-x}\sin(x) \, dx[/tex]
or
[tex]\displaystyle \int e^{-x}\sin(x) \, dx = -\frac12 e^{-x} (\cos(x)+\sin(x)) + C[/tex]
Using the antiderivative and the fundamental theorem of calculus, we compute the k-th area to be
[tex]\displaystyle S_k = -\frac12 e^{-(2k+1)\pi} (\cos((2k+1)\pi)+\sin((2k+1)\pi)) + \frac12 e^{-2k\pi} (\cos(2k\pi)+\sin(2k\pi))[/tex]
[tex]\displaystyle S_k = \frac12 e^{-2k\pi} \cos(2k\pi) \left(e^{-\pi} + 1\right)[/tex]
[tex]\displaystyle S_k = \frac{e^{-\pi}+1}2 e^{-2k\pi}[/tex]
Since [tex]\left|e^{-2\pi}\right|<1[/tex], the sum we want is a convergent geometric sum. As n goes to ∞, we have
[tex]\displaystyle \lim_{n\to\infty} \sum_{k=0}^n S_k = \frac{e^{-\pi}+1}2 \cdot \frac1{1 - e^{-2\pi}} = \boxed{\frac{e^\pi+1}{4\sinh(\pi)}}[/tex]
Solve each equation.
2y=7(y−2)+4
y =
4x=6−2(2−x)
x =
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
How do u solve this
The sum of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
Answer:
34
Step-by-step explanation:
Answer:
b=4 a=3
The first digit is 3 and the second 4 so the original number is 34
To be honest! It would be much quicker to solve by trial and error.
Explanation:
Building the equations
Let the first digit be
a
Let the second digit be
b
The first condition
a
+
b
=
7
...............................(1)
Step-by-step explanation:
Please solve soon I need this problem solved or I will miss out on a Christmas party with my friends.
Answer:
Go have fun at your Christmas party!
Multiple Choice= 2 points each
Short Response= 4 points each
Step-by-step explanation:
You can set up a system of equations to find out how many points each type of question is worth.
x= multiple choice
y= short response
Equation 1 (You)
23x+10y=86
Equation 2 (Your Friend)
28x+5y=76
Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.
-2(28x+5y=76)
-56x-10y=-152
Subtract both equations together.
23x+10y=86
-56x-10y=-152
-33x= -66
x=2
Now that we found x, plug it into the first equation to solve for y.
23x+10y=86
23(2)+10y=86
46+10y=86
10y=40
y=4
Each multiple choice is worth 2 points, and each short answer response is worth 4 points.
please help me asap..!
ty :)
Answer:
y-inctercept=4, x-intecept=7
Step-by-step explanation:
I did it with the standard to slope again!
[tex]7y=28-4x[/tex]
[tex]y=4-\frac{4}{7}x[/tex]
Now don't get confused here, 4 is the y incetecept, not -4.
When y=0, x=7
UPDATE:
To determine x and y intercept using graph, see where the line intersects at the x or y axis.
quiz 3-1 parallel lines transversals and special angle pairs
The following statements are true:
Segment DEF is parallel to ABCThe line segment AB is parallel to DELine FC is parallel to ADthe line that is skewed to DE is BCThe given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABCCADF is parallel to CBEFFor the lines, the lines that are parallel to each other are:
AD is parallel to BEAB is parallel to DEFC is parallel to ADFor skew lines, they are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
Learn more about parallel and skew lines here: https://brainly.com/question/18013592
What is the next term of the geometric sequence?
108, 36, 12,
Pls lmk
Answer:
4
Step-by-step explanation:
Answer: 4
Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)